The Effect of the Magnetic Field of High Intensities on Velocity Profiles of Slip Driven Non-Newtonian Fluid Flow through the Circular, Straight Microchannel

  IJETT-book-cover  International Journal of Engineering Trends and Technology (IJETT)          
  
© 2022 by IJETT Journal
Volume-70 Issue-4
Year of Publication : 2022
Authors : Satyabrata Podder, Paulam Deep Paul, Arunabha Chanda
  10.14445/22315381/IJETT-V70I4P233

MLA 

MLA Style: Satyabrata Podder, et al. "The Effect of the Magnetic Field of High Intensities on Velocity Profiles of Slip Driven Non-Newtonian Fluid Flow through the Circular, Straight Microchannel." International Journal of Engineering Trends and Technology, vol. 70, no. 4, Apr. 2022, pp. 383-388. Crossref, https://doi.org/10.14445/22315381/IJETT-V70I4P233

APA Style: Satyabrata Podder, Paulam Deep Paul, Arunabha Chanda.(2022). The Effect of the Magnetic Field of High Intensities on Velocity Profiles of Slip Driven Non-Newtonian Fluid Flow through the Circular, Straight Microchannel. International Journal of Engineering Trends and Technology, 70(4), 383-388. https://doi.org/10.14445/22315381/IJETT-V70I4P233

Abstract
In micro-devices, inertial forces tend to decrease, while surface effects dominate the flow and viscous effects. the numerical approach is becoming popular to describe fluid flow characteristics of slip flow through microchannels by Navier-Stokes equations in conjunction with the slip boundary. A study has been made numerically to understand the effect of magnetic induction on the degree of slip which depends upon the flow behaviour index, slip length, Reynolds no. In the present study, various observations have been made on the magnetohydrodynamic effect on non-Newtonian slip flow velocity profiles through microchannels to reveal the effect of flow behaviour index and slip coefficient. This work reveals that the slip coefficient plays a major role in the flow, and the externally applied magnetic field affects both centerline and slip velocity.

Keywords
Non-Newtonian fluids, Slip flow, Microchannels, Magnetohydrodynamics, Xanthan.

Reference
[1] D. Liu and S. V. Garimella, Investigation of Liquid Flow in Microchannels, Aiaa Journal of Thermophysics and Heat Transfer, 18(1) (2004) 6572.
[2] D. C. Tretheway, and C. D. Meinhart, Apparent Fluid Slip at Hydrophobic Microchannel Walls, Physics of Fluids, 14(3) (2001).
[3] P. A. Thompson and S. M. Troian, A General Boundary Condition for Liquid Flow at Solid Surfaces, Letters to Nature, Nature, 389 (1997) 360362.
[4] H. Brenner, Beyond No Slip Boundary Condition, Physical Review, E84( 046309) (2011) 1-8..
[5] L. Bocquet and J. L. Barrat. Flow Boundary Conditions From Nano- to Micro-Scales. the Royal Society of Chemistry, Soft Matter. 3 (2007) 685– 693.
[6] X. Y. You, J. R. Zheng and Q. Jing, Effects of Boundary Slip and Apparent Viscosity on the Stability of Microchannel Flow, Springer-Verlag, Forsch Ingenieurwes. 71 (2007) 99–106.
[7] M. Barkhordari, and S. G. Etemad, Numerical Study of Slip Flow Heat Transfer of Non-Newtonian Fluids in Circular Microchannels, International Journal of Heat and Fluid Flow, 28 (2007) 1027–1033.
[8] Y. S. Muzychka and J. Edge, Laminar Non-Newtonian Fluid Flow in Noncircular Ducts and Microchannels, Journal of Fluid Engineering-T Asme, 130 (2008) 111201-7.
[9] A. H. Sarabandi, and A. J. Moghadam, Thermal Analysis of Power-Law Fluid Flow In A Circular Microchannel, Journal of Heat Transfer, Asme, 139 (2017) 032401/1-14.
[10] M. Shojajaeian and S. A. R. Dibaji, Three-Dimensional Numerical Simulation of the Slip Flow Through Triangular Microchannels, International Communications in Heat and Mass Transfer, 37 (2010) 324–329.
[11] N. Kashaninejad, W. K. Chan and N. T. Nguyen, Analytical Modeling of Slip Flow in Parallel-Plate Microchannels, Micro and Nanosystems. 5(4) (2013) 1-8, 2013.
[12] L. L. Ferrás, A.M. Afonso, Et Al. Slip Flows of Newtonian and Viscoelastic Fluids in A 4:1 Contraction, Journal of Non-Newtonian Fluid, 214 (2014) 28–37, 2014.
[13] Z. Kountouriotis, M. Philippou and G. C. Georgiou, Development Lengths in Newtonian Poiseuille Flows with Wall Slip, Applied Mathematics and Computation, 291 (2016) 98–114.
[14] R. Sarma, H. Gaikwad and P. K. Mondal, Effect of Conjugate Heat Transfer on Entropy Generation In Slip-Driven Microflow of Power Law Fluids, Nanoscale and Microscale Thermophysical Engineering, 21(1) (2017) 26–44.
[15] X. Yang, N. T. Weldetsadik, Z. Hayat, T. Fu, S. Jiang, C. Zhu, Y. Ma, Pressure Drop of Single-Phase Flow in Microchannels and Its Application In Characterizing the Apparent Rheological Property of Fluids. Microfluidics and Nanofluidics, Springer-Verlag Gmbh Germany, 23(75) (2019) 19.
[16] M. H. Mansour, A. Kawahara and M. Sadatomi. Experimental Investigation of Gas–Non-Newtonian Liquid Two-Phase Flows From T-Junction Mixer In Rectangular Microchannel, International Journal of Multiphase Flow, 72 (2015) 263–274.
[17] X. Zhang, F. He Et Al. Experimental Investigation of Flow Characteristics for Liquid Flow in Microchannels at Very Low Reynolds Numbers, Chemical Engineering & Technology, 10.1002/Ceat.201500743
[18] Suman Chakraborty. Dynamics of Capillary Flow of Blood Into A Microfluidic Channel. the Royal Society of Chemistry. 2005; Lab Chip, 5 (2005) 421-430.
[19] Seyed Ali Sajadifar, Arash Karimipour and Davood toghraie. Fluid Flow and Heat Transfer of Non-Newtonian Nanofluid In A Microtube Considering Slip Velocity and Temperature Jump Boundary Conditions. European J. of Mechanics B/Fluids. 61 (2017) 25–32.
[20] J Niu, C Fu, and W Tan, Slip-Flow and Heat Transfer of a Non-Newtonian Nanofluid In A Microtube, Plos One, 7(5) (2012) 1-9.
[21] National Research Council of the National Academies, Board on Physics and Astronomy, Division on Engineering and Physical Sciences, Committee to Assess the Current Status and Future Direction of High Magnetic Field Science in the United States. the National Academic Press, Washington, D. C. Usa, (2013).
[22] M. Kiyasatfar, and N. Pourmahmoud, Laminar Mhd Flow and Heat Transfer of Power-Law Fluids in Square Microchannels. International Journal of Thermal Science, 99 (2016) 26-35.
[23] S. Hussain, A. Aziz, C. M. Khalique and T. Aziz Numerical Investigation of Magnetohydrodynamic Slip Flow of Power-Law Nano Fluid With Temperature Dependent Viscosity and Thermal Conductivity Over A Permeable Surface, Open Physics, 15 (2017) 867–876.
[24] G Nagaraju, Mahesh Garvandha and J V Ramana Murthy, Mhd Flow in a Circular Horizontal Pipe Under Heat Source/ Sink With Suction/ Injection on Wall., Frontiers In Heat and Mass Transfer (Fhmt); 13(6) (2019).
[25] E. Shekarforoush, A. Faralli, S. Ndoni, A. C. Mendes, and I. S. Chronakis, Electrospinning of Xanthan Polysaccharide, Macromolecular Materials and Engineering, 1700067 (2017) 1-11.